Avoided crossings in driven systems

Details Avoided crossings in driven systems Avoided crossings in driven systems

2005-09-05

arxiv.org/abs/physics/0509038v1

Phys. Rev. A 72, 043408 (2005) -- http://link.aps.org/abstract/PRA/v72/e043408

Physics

Atomic Physics

32 pages, 13 figures; Submitted to Phys. Rev. A, 8/8/2005

Scientific paper

We characterize the avoided crossings in a two-parameter, time-periodic system which has been the basis for a wide variety of experiments. By studying these avoided crossings in the near-integrable regime, we are able to determine scaling laws for the dependence of their characteristic features on the non-integrability parameter. As an application of these results, the influence of avoided crossings on dynamical tunneling is described and applied to the recent realization of multiple-state tunneling in an experimental system.

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